Composition operators between algebras of differentiable functions
Composition operators between algebras of differentiable functions
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper E"> <mml:semantics> <mml:mi>E</mml:mi> <mml:annotation encoding="application/x-tex">E</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper F"> <mml:semantics> <mml:mi>F</mml:mi> <mml:annotation encoding="application/x-tex">F</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be real Banach spaces, <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper U subset-of-or-equal-to upper E"> <mml:semantics> <mml:mrow> <mml:mi>U</mml:mi> <mml:mo>⊆<!-- ⊆ --></mml:mo> <mml:mi>E</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">U …